Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = (1 - cos A)u(a,b,c), where u : v : w = X(31)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1397) lies on these lines:
1,987 6,181 31,184 42,1404 55,572 56,58 57,985 60,959 109,727 171,182 278,1365 392,993 602,1092 603,1472 1257,1407X(1397) = X(I)-Ceva conjugate of X(J) for these (I,J): (59,1415), (604,32), (1408,604)
X(1397) = X(560)-cross conjugate of X(32)
X(1397) = crosspoint of X(I) and X(J) for these (I,J): (56,608), (59,1415), (604,1106)
X(1397) = crosssum of X(I) and X(J) for these (I,J): (8,345), (75,322), (312,341)